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A Study on Vibrations of Hexarot-Based High-G Centrifugal Simulators

Published online by Cambridge University Press:  21 May 2019

Houshyar Asadi
Affiliation:
Institute for Intelligent Systems Research and Innovation, Deakin University, Waurn Ponds Campus, Victoria 3216, Australia E-mails: houshyar.asadi@deakin.edu.au, saeid.nahavandi@deakin.edu.au

Summary

This paper investigates the vibrations of hexarot simulators. The generalized modeling of kinematics and dynamics formulation of a hexarot mechanism is addressed. This model considers the flexible manipulator with the base motion. The dynamic formulation has been developed based on the principle of virtual work. The dynamic model consists of the stiffness of the different parts of the mechanism, the effects of gravity and inertia, torque and force related to the joints viscous friction. Finally, the response of the end effector at various frequencies has been presented, and the vibrations of the mechanism and the dynamic stability index have been investigated.

Type
Articles
Copyright
© Cambridge University Press 2019 

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References

Do, W. Q. D. and Yang, D. C. H., “Inverse dynamic analysis and simulation of a platform type of robot,J. Robot Syst. 5, 209227 (1998).CrossRefGoogle Scholar
Riebe, S. and Ulbrich, H., “Modeling and online computation of the dynamics of a parallel kinematic with six degrees-of freedom,Arch. Appl. Mech. 72, 81829 (2003).Google Scholar
Rahmani, A., Ghanbari, A., and Pedrammehr, S., “Kinematic analysis for hybrid 2-(6-UPU) manipulator by wavelet neural network,Adv. Mater. Res. 1016, 726730 (2014).CrossRefGoogle Scholar
Khalil, W. and Guega, S., “Inverse and direct dynamic modeling of Gough-Stewart robots,IEEE Trans. Rob . 20, 755761 (2004).CrossRefGoogle Scholar
Pedrammehr, S., Mahboubkhah, M., and Pakzad, S., “An improved solution to the inverse dynamics of the general Stewart platform,2011 IEEE International Conference on Mechatronics (ICM), Istanbul, Turkey (2011) pp. 392397.CrossRefGoogle Scholar
Pedrammehr, S., Mahboubkhah, M., and Khani, N., “Improved dynamic equations for the generally configured Stewart platform manipulator,J. Mech. Sci. Technol. 26, 711721 (2012).CrossRefGoogle Scholar
Yurt, S. N., Anli, E., and Ozkol, I., “On the characterization of the dynamic performances of planar manipulators,Meccanica 42, 187196 (2007).CrossRefGoogle Scholar
Ting, Y., Chen, Y. S., and Jar, H. C., “Modeling and control for a Gough-Stewart platform CNC machine,J. Field Rob. 21, 609623 (2004).Google Scholar
Geng, Z., Haynes, L. S., Lee, T. D., and Carroll, R. L., “On the dynamic and kinematic analysis of a class of Stewart platform,Rob. Autonom. Syst. 9, 237254 (1992).CrossRefGoogle Scholar
Lee, S. S. and Lee, J. M., “Design of a general purpose 6-DOF haptic interface,Mechatronics 13, 697722 (2003).CrossRefGoogle Scholar
Lebret, G., Liu, K., and Lewis, F. L., “Dynamic analysis and control of a Stewart Platform manipulator,J. Robotic. Syst. 10, 629655 (1993).CrossRefGoogle Scholar
Wang, W., Yang, H. Y., Zou, J., Ruan, X. D., and Fu, X., “Optimal design of Stewart platforms based on expanding the control bandwidth while considering the hydraulic system design,J. Zhejiang Univ. Sci. A 10, 2230 (2009).Google Scholar
Wang, J. and Gosselin, C.M., “A new approach for the dynamic analysis of parallelmanipulators,Multibody Syst. Dyn . 2, 317334 (1998).CrossRefGoogle Scholar
Zhang, C. D. and Song, S. M., “An efficient method for inverse dynamics of manipulators based on the virtual work principle,J. Rob. Syst. 10, 605627 (1993).CrossRefGoogle Scholar
Gregorio, R. D. and Parenti-Castelli, V., “On the characterization of the dynamic performances of planar manipulators,Meccanica 40, 267279 (2005).CrossRefGoogle Scholar
Tsai, L. W., “Solving the inverse dynamics of a Stewart-Gough manipulator by the principle of virtual work,J. Mech. Des. 122, 39 (2000).CrossRefGoogle Scholar
Abedinnasab, M. H. and Vossoughi, G. R., “Analysis of a 6-DOF redundantly actuated 4-legged parallel mechanism,Nonlinear Dyn . 58, 611622 (2009).CrossRefGoogle Scholar
Zhao, Y. and Gao, F., “Inverse dynamics of the 6-dof out-parallel manipulator by means of the principle of virtual work,Robotica 27, 259268 (2009).CrossRefGoogle Scholar
Lee, J. D. and Geng, J. Z., “A dynamic model of a flexible Stewart platform,Comput. Struct. 48, 367374 (1993).CrossRefGoogle Scholar
Selig, J. M. and Ding, X., “Theory of vibration in Stewart platform,Proceedings of the IEEE International Conference on Intelligent Robots and Systems, Maui, Hawaii, USA (2001) pp. 21902195.Google Scholar
Yoshikawa, T., “Dynamic manipulability of robot manipulators,IEEE Conference on Decision and Control, St. Louis, MO, USA (1985) Vol. 2, pp. 10331038.Google Scholar
Ma, O. and Angeles, J., “Optimum design of manipulator under dynamic isotropy condition,Proceedings of the IEEE International Conference on Robotics and Automation (1993) Vol. 1, pp. 470475 Google Scholar
Mukherjee, P., Dasgupta, B., and Mallik, A. K., “Dynamic stability index and vibration analysis of a flexible Stewart platform,J. Sound Vib. 307, 495512 (2007).CrossRefGoogle Scholar
Huang, S. and Schimmels, M., “The bounds and realization of spatial stiffnesses achieved with simple springs connected in parallel,IEEE Trans. Robot. Autom. 14, 466475 (1998).CrossRefGoogle Scholar
Hong, D., Kim, S.,Choi, W. C., and Song, J.-B., “Analysis of machining stability for a parallel machine tool,Mech. Base Des. Struct. Mach. 31, 509528 (2003).CrossRefGoogle Scholar
Pedrammehr, S., Mahboubkhah, M., and Khani, N., “Natural frequencies and mode shapes for vibrations of machine tools’ hexapod table,1st International Conference on Acoustics and Vibration ISAV 2011, Tehran, Iran (2011).Google Scholar
Pedrammehr, S.,Mahboubkhah, M., Qazani, M. R. C., Rahmani, A., and Pakzad, S., “Forced vibration analysis of milling machines hexapod table under machining forces,Stroj Vestn-J. Mech. E 60, 158171 (2014).CrossRefGoogle Scholar
Pedrammehr, S., “Investigation of factors influential on the dynamic features of machine tools’ hexapod table,2nd International Conference on Acoustics and Vibration ISAV 2012, Tehran, Iran (2012).Google Scholar
Mahboubkhah, M., Pakzad, S., Arasi, A. G., and Ettefagh, M. M., “Modal analysis of the vertical moving table of 4-DOF parallel machine tool by FEM and experimental test,J. Vibro Eng. 19, 7 (2017).Google Scholar
Afzali-Far, B., Lidström, P., and Nilsson, K., “Parametric damped vibrations of Gough-Stewart platforms for symmetric configurations,Mech. Mach. Theory 80, 5269 (2014).Google Scholar
Pedrammehr, S., Najdovski, Z., Abdi, H., and Nahavandi, S., “Design methodology for a hexarot-based centrifugal high-G simulator,2017 IEEE International Conference on Systems, Man, and Cybernetics SMC2017, Banff, Canada (2017).Google Scholar
Pedrammehr, S., Nahavandi, S., and Abdi, H., “Closed-form dynamics of hexarot parallel manipulator by means of the principle of virtual work,Acta Mech. Sin . 34, 883895 (2018).CrossRefGoogle Scholar
Pedrammehr, S., Nahavandi, S., and Abdi, H., “Evaluation of inverse dynamics of hexarot-based centrifugal simulators,Int. J. Dyn. Control 6, 15051515 (2018).CrossRefGoogle Scholar
Pedrammehr, S., Danaei, B., Abdi, H.,Masuleh, M. T., and Nahavandi, S., “Dynamic analysis of Hexarot: axis symmetric parallel manipulator,Robotica 36, 225240 (2018).CrossRefGoogle Scholar
Pedrammehr, S., “Dynamic modelling of hexarot parallel mechanisms for design and development,” PhD Thesis, Deakin University, Australia (2018).Google Scholar
Stewart, D., “A platform with six degrees of freedom,Proc. Inst. Mech. Eng. 180, 371386 (1965).CrossRefGoogle Scholar
Tajari, M. J., Pedrammehr, S.,Qazani, M. R. C., and Nategh, M. J., “The effects of joint clearance on the kinematic error of the hexapod tables,2017 5th RSI International Conference on Robotics and Mechatronics ICRoM, Tehran, Iran (2017) pp. 3944.CrossRefGoogle Scholar
Qazani, M. R. C., Pedrammehr, S., and Nategh, M. J., “An investigation on the motion error of machine tools’ hexapod table,Int. J. Precis. Eng. Man. 19, 463471 (2018).CrossRefGoogle Scholar
Pedrammehr, S., Nahavandi, S., and Asadi, H., “The forced vibration analysis of hexarot parallel mechanisms,The 20th IEEE International Conference on Industrial Technology IEEE-ICIT 2019, Melbourne, Australia (2019).Google Scholar
Pedrammehr, S., Qazani, M. R. C., and Nahavandi, S., “A novel axis symmetric parallel mechanism with coaxial actuated arms,The 4th International Conference on Control, Automation and Robotics, ICCAR 2018, Auckland, New Zealand (2018).Google Scholar
Pedrammehr, S., Qazani, M. R. C., Asadi, H., and Nahavandi, S., “Kinematic manipulability analysis of hexarot simulators,The 20th IEEE International Conference on Industrial Technology IEEE-ICIT 2019, Melbourne, Australia (2019).Google Scholar
Pedrammehr, S., Qazani, M. R. C., Asadi, H., and Nahavandi, S., “Control system development of a hexarotbased high-G centrifugal simulator,The 20th IEEE International Conference on Industrial Technology IEEE-ICIT 2019, Melbourne, Australia (2019).Google Scholar
Pedrammehr, S., Qazani, M. R. C., Asadi, H., and Nahavandi, S., “Mathematical modelling of linear motion error for Hexarot parallel manipulators,Appl. Math. Model 40, 942954 (2016)CrossRefGoogle Scholar
Isaksson, M., Brogårdh, T., and Nahavandi, S., “Parallelmanipulators with a rotation-symmetric arm system,J. Mech. Des. 134, 114503 (2012).CrossRefGoogle Scholar
Merlet, J. P., Parallel Robots, vol. 128 (Springer Science & Business Media, Dordrecht, 2006).Google Scholar
Taghirad, H. D., Parallel Robots: Mechanics and Control (CRC press, Boca Raton, 2013).CrossRefGoogle Scholar
Mohammadi, A., Asadi, H., Mohamed, S., Nelson, K., and Nahavandi, S., “Future reference prediction in model predictive control based driving simulators,Australasian Conference on Robotics and Automation (ACRA, Brisbane, Australia, 2016).Google Scholar
Asadi, H., Lim, C., Mohammadi, A., Mohamed, S., Nahavandi, S., and Shanmugam, L., “A genetic algorithmbased nonlinear scaling method for optimal motion cueing algorithm in driving simulator. Proceedings of the Institution of Mechanical Engineers,Part I: J. Syst. Control Eng. C1, 232, 10251038 (2018).Google Scholar
Mohammadi, A., Asadi, H., Mohamed, S., Nelson, K., and Nahavandi, S., “MPC-based motion cueing algorithm with short prediction horizon using exponential weighting,” 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC, Budapes, Hungary, 2016).Google Scholar
Asadi, H., Mohammadi, A., Mohamed, S., Lim, C., Khatami, A., Khosravi, A., and Nahavandi, S., “A Particle Swarm Optimization-based washout filter for improving simulator motion fidelity,” 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC, Budapes, Hungary, 2016).Google Scholar
Asadi, H., Mohamed, S., Nelson, K., Nahavandi, S., and Oladazimi, M., “An optimal washout filter based on genetic algorithm compensators for improving simulator driver perception,DSC 2015: Proceedings of the Driving Simulation Conference & Exhibition (Max Planck Institute for the Advancement of Science, Munich, Germany, 2015).Google Scholar
Fu, K. S., Gonzalez, R. C., and Lee, C. S. G., Robotics Control, Sensing, Vision and Intelligence, 1st ed. (McGraw-Hill Book Company, New York, 1988).Google Scholar
Pedrammehr, S.,Mahboubkhah, M., and Khani, N., “A study on vibration of Stewart platform-based machine tool table,Int. J. Adv. Manuf. Technol. 65, 9911007 (2013).CrossRefGoogle Scholar